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Erdős–Szekeres convex polygon conjecture
About 17 years old
Let $n$ be an integer, and let a set of points in the plane be in general position, meaning that no three points are collinear. Erdős–Szekeres convex polygon conjecture. Every set…
openconvexity discrete-geometry erdos-szekeres-problem
017
Conjecture on the third Erdős–Szekeres-type function at $(6,1)$
At least 16 years old
Let $h(n,k)$ be the least positive integer such that every planar set ${\cal X}$ in general position with at least $h(n,k)$ points contains $n$ points forming a convex $n$ -gon whos…
opencombinatorial-geometry erdos-szekeres-problem
05

Erdős–Szekeres convex polygon conjecture